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Lecture
Introduction to Coproducts
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Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
Products: Theory of Categories
Covers the concept of products in category theory, focusing on their properties, uniqueness, and isomorphisms.
Introduction to Categories: Products and Coproducts
Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.
Left Adjoint Preserves Coproducts
Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.
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Explores group quotients and push-outs, discussing isomorphisms and surjectivity in different scenarios.
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Provides an overview of lifting properties in model categories, focusing on their definitions and implications for morphisms and commutative diagrams.
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Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Active Learning Session: Group Theory
Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
